Solvable confining gauge theories at large N

In this Letter we consider models with N U(1) gauge fields A(mu)(n) togethe r with N Kalb-Ramond fields B-muv(n) in the large N limit. These models can be solved explicitly and exhibit confinement for a large class of bare act ions. The confining phase is characterized by an approximate "low energy" v ector gauge symmetry under which the Kalb-Ramond fields B-muv(n), transform . A duality transformation shows that confinement is associated with magnet ic monopoles condensation. (C) 2001 Elsevier Science B.V. All rights reserv ed.